Pith Number

pith:5FP6L253

pith:2010:5FP6L253FS6FCM5JALFJP3QNFH

not attested not anchored not stored refs pending

Finite Gelfand Pair Approaches for Ehrenfest Diffusion Model

Hiroshi Mizukawa

arxiv:1009.1205 v1 · 2010-09-07 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FP6L253FS6FCM5JALFJP3QNFH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:41:15.949133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95fe5ebbb2cbc5133a902ca97ee0d29c2fb2dd1ff6aba6b15702098db70049d

Aliases

arxiv: 1009.1205 · arxiv_version: 1009.1205v1 · doi: 10.48550/arxiv.1009.1205 · pith_short_12: 5FP6L253FS6F · pith_short_16: 5FP6L253FS6FCM5J · pith_short_8: 5FP6L253

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5FP6L253FS6FCM5JALFJP3QNFH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e95fe5ebbb2cbc5133a902ca97ee0d29c2fb2dd1ff6aba6b15702098db70049d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf704dbff4b4e784128943431ce9f947b4d6fcabcf5dcc0c4325ae4b25fc80c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-07T06:44:17Z",
    "title_canon_sha256": "339ac5724725f0a36e56e26c54fa7e589f5f280b264490f0180597d4dcc69cab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1205",
    "kind": "arxiv",
    "version": 1
  }
}